Research output: Contribution to journal › Article › peer-review
Simulation of fiber-reinforced viscoelastic structures subjected to finite strains: multiplicative approach. / Tagiltsev, I. I.; Laktionov, P. P.; Shutov, A. V.
In: Meccanica, Vol. 53, No. 15, 01.12.2018, p. 3779-3794.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Simulation of fiber-reinforced viscoelastic structures subjected to finite strains: multiplicative approach
AU - Tagiltsev, I. I.
AU - Laktionov, P. P.
AU - Shutov, A. V.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - The study is devoted to the geometrically nonlinear simulation of fiber-reinforced composite structures. The applicability of the multiplicative approach to the simulation of viscoelastic properties of a composite material is assessed, certain improvements are suggested. For a greater accuracy in applications involving local compressive fiber buckling, a new family of hyperelastic potentials is introduced. This family allows us to account for the variable critical compressive stress, which depends on the fiber-matrix interaction. For the simulation of viscoelasticity, the well-established Sidoroff decomposition of the deformation gradient is implemented. To account for the viscosity of the matrix material, the model of Simo and Miehe (Comput Methods Appl Mech Eng 98:41–104, 1992) is used; highly efficient iteration-free algorithms are implemented. The viscosity of the fiber is likewise described by the multiplicative decomposition of the deformation gradient, leading to a scalar differential equation; an efficient iteration-free algorithm is proposed for the implicit time stepping. The accuracy and convergence of the new iteration-free method is tested and compared to that of the standard scheme implementing the Newton iteration. To demonstrate the applicability of the approach, a pressurized multi-layer composite pipe is modelled; the so-called stretch inversion phenomenon is reproduced and explained. The stress distribution is obtained by a semi-analytical procedure; it may serve as a benchmark for FEM computations. Finally, the issue of the parameter identification is addressed.
AB - The study is devoted to the geometrically nonlinear simulation of fiber-reinforced composite structures. The applicability of the multiplicative approach to the simulation of viscoelastic properties of a composite material is assessed, certain improvements are suggested. For a greater accuracy in applications involving local compressive fiber buckling, a new family of hyperelastic potentials is introduced. This family allows us to account for the variable critical compressive stress, which depends on the fiber-matrix interaction. For the simulation of viscoelasticity, the well-established Sidoroff decomposition of the deformation gradient is implemented. To account for the viscosity of the matrix material, the model of Simo and Miehe (Comput Methods Appl Mech Eng 98:41–104, 1992) is used; highly efficient iteration-free algorithms are implemented. The viscosity of the fiber is likewise described by the multiplicative decomposition of the deformation gradient, leading to a scalar differential equation; an efficient iteration-free algorithm is proposed for the implicit time stepping. The accuracy and convergence of the new iteration-free method is tested and compared to that of the standard scheme implementing the Newton iteration. To demonstrate the applicability of the approach, a pressurized multi-layer composite pipe is modelled; the so-called stretch inversion phenomenon is reproduced and explained. The stress distribution is obtained by a semi-analytical procedure; it may serve as a benchmark for FEM computations. Finally, the issue of the parameter identification is addressed.
KW - Efficient numerics
KW - Fiber-reinforced composite
KW - Hyperelasticity
KW - Large strain
KW - Multiplicative decomposition
KW - Viscoelasticity
KW - BEHAVIOR
KW - FIELD
KW - STATE
KW - COMPOSITES
KW - MODEL
KW - LINEAR VISCOELASTICITY
KW - FORMULATION
KW - MECHANICS
KW - ARTERIES
KW - FREE-ENERGY
UR - http://www.scopus.com/inward/record.url?scp=85055703456&partnerID=8YFLogxK
U2 - 10.1007/s11012-018-0909-0
DO - 10.1007/s11012-018-0909-0
M3 - Article
AN - SCOPUS:85055703456
VL - 53
SP - 3779
EP - 3794
JO - Meccanica
JF - Meccanica
SN - 0025-6455
IS - 15
ER -
ID: 17246751